The phrase "a cute example of" is correct and usable in written English.
It can be used when introducing an example that is charming or endearing in nature.
Example: "The children's drawing was a cute example of their imagination and creativity."
Alternatives: "an adorable instance of" or "a charming illustration of".
I can illustrate this unreality with a cute example.
I see real-life (and really cute) examples of these wildlife problems.
This — all deadpan and objectively delivered by the 25 dancers — was the cutest example of hip-hop I've ever seen, with nice examples of popping, boogaloo and liquid dancing all set as character effects.
The cutest example of Lisbon's rather lackadaisical attitude is the clanking, old, wrought-iron Elevador de Santa Justa, a 45m lift built in 1901 by a pupil of Gustav Eiffel to connect the west end of Baixa, the shopping district, with the Carmo church in Chiado.
In what must be the cutest example of human-robot interaction I've seen in recent months, researchers at Georgia Tech are helping kids teach robots how to play Angry Birds and, in the process, help the kids regain muscle movement and control.
That's why we've partnered with Clorox to bring you the cutest examples of disheveled fun whose parents won't let a little dirt (or food, or paint) #StainOnMyParade.
Examples: the Mitsubishi commercial in which a guy in a boring sedan is called "sir" by two cute girls; the Snapple spot that shows a life-size plum lobbing an egg at a car, an example of fruit gone "bad".
For example, a cute photo of a puppy brings in thousands of comments and usually cycles back around to a conversation about auctions.
The simulator is cute, and definitely a great example of what can be done with some incredibly clever scripting — but I'm not sure that it's actually helpful, either for Microsoft or the curious user.
